Case of somebody bandaging cut, drunk (7)
I believe the answer is:
squiffy
'drunk' is the definition.
(I've seen this before)
'case of somebody bandaging cut' is the wordplay.
'case of' suggests removing the centre (outsides of).
'bandaging' indicates putting letters inside.
'cut' becomes 'quiff' (type of haircut).
'somebody' with its centre taken out is 'sy'.
'sy' enclosing 'quiff' is 'SQUIFFY'.
(Other definitions for squiffy that I've seen before include "Slightly inebriated" , "Smashed" , "Slightly drunk" , "Tiddly" , "Mildly intoxicated" .)